Marjam has a goal of taking at least 10,000 steps today. According to her pedometer, she got 2,500 steps in the morning. There are 10 hours left in the day. How many steps will she need to get each hour (assume she walks the same number of steps each hour) for the rest of the day to meet her goal? Solve this problem. Which graph most clearly communicates the solution?(1 point)

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An illustration shows a number line labeled Marjam’s Steps per Hour for the Remainder of the Day. The number line ranges from 0 to 900 in 100 unit increments. A closed point is plotted at 750. A line extends from that point to the right and goes past 900.
Image with alt text: An illustration shows a number line labeled Marjam’s Steps per Hour for the Remainder of the Day. The number line ranges from 0 to 900 in 100 unit increments. A closed point is plotted at 750. A line extends from that point to the right and goes past 900.

A number line ranges from 0 to 900 in 100 unit increments. An open point is labeled and plotted at 750. A line extends from that point to the right and goes past 900.
Image with alt text: A number line ranges from 0 to 900 in 100 unit increments. An open point is labeled and plotted at 750. A line extends from that point to the right and goes past 900.

A number line ranges from 0 to 900 in 100 unit increments. An open point is labeled and plotted at 750. A line extends from that point to the right and goes past 900.
Image with alt text: A number line ranges from 0 to 900 in 100 unit increments. An open point is labeled and plotted at 750. A line extends from that point to the right and goes past 900.

A number line is marked with 10 equidistant tick marks. An open point is plotted halfway between the eighth and ninth tick marks from the left. A line extends from that point to the right and goes past the last tick mark.

Answer 1

To determine how many steps Marjam needs to take each hour for the rest of the day, we'll first calculate how many steps she still needs to reach her goal of 10,000 steps.

1. Calculate steps needed to meet the goal:

   • Marjam's goal: 10,000 steps
   • Steps already taken in the morning: 2,500 steps
   • Steps still needed: \( 10,000 - 2,500 = 7,500 \) steps

2. Determine how many hours are left:

   • There are 10 hours left in the day.

3. Calculate steps needed per hour:

   • Steps needed per hour = Total steps needed / Number of hours left
   • Steps needed per hour = \( 7,500 \text{ steps} / 10 \text{ hours} = 750 \text{ steps/hour} \)

Now, Marjam needs to walk 750 steps each hour for the next 10 hours to meet her goal of at least 10,000 steps.

Regarding the graph that most clearly communicates the solution, the first option describes a number line with a closed point at 750, indicating that Marjam needs to walk at least 750 steps each hour. This provides a clear visual representation of the minimum steps needed per hour.

So, Marjam needs to take 750 steps each hour for the remaining 10 hours, and the appropriate graph to represent this solution is the one with a closed point at 750.